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Finding the Fourth Proportional to 116,702.60, 175,097.10 and 37,819.40

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Solution

The fourth proportional to 116,702.60, 175,097.10 and 37,819.40 is: 56,743.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,702.60 : 175,097.10 = 37,819.40 : x
  2. Step 2: Convert to fraction form
    116,702.60/175,097.10 = 37,819.40/x
  3. Step 3: Cross multiply
    116,702.60x = 175,097.10 × 37,819.40
  4. Step 4: Simplify right side
    116,702.60x = 6,622,067,263.74
  5. Step 5: Solve for x
    x = 6,622,067,263.74/116,702.60
  6. Step 6: Final answer
    x = 56,743.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.